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3 years ago

Evaluate the following rational expression for x equals 7

Mathematics

1 answer:

alexandr1967 [171]3 years ago

5 0

It would be 7x hope this helps

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Generate a sampling distribution of sample means using a sample of size from the YearlySalary values in the dataset NFLContracts

rjkz [21]

Answer:

Hello your question is not well written attached below is the complete question

answer :

a) smallest value = $0.405 million

largest value = $22 million

b) smallest value = $0.505 million

largest value = $9.332 million

Step-by-step explanation:

A) what are the smallest and largest yearly salary values in the population

smallest value = $0.405 million

largest value = $22 million

b) What are the smallest and largest sample mean in the sampling distribution

Smallest value = $0.505 million

Largest value = $9.332 million

note : values where gotten using statkey on the dataset NFLcontracts2015 as stated in the attached document ( question )

8 0

3 years ago

18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

3 years ago

Write an equation of a line in slope-intercept form given the slope (m) and the y- intercept (b), slope, m= -4/7 y-intercept b =

Leno4ka [110]

The answer is y=-4/7x+7. You simply substitute in the given numbers. -4/7 for the slope (m) and 7 for the y-intercept (b).

4 0

3 years ago

PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!

Ede4ka [16]

Answer/Step-by-step explanation:

1. m<UTV = m<RTS = 85°

Reason: Definition of vertical angles.

Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.

2. m<R + m<S + m<RTS = 180°

Reason: sum of interior angles of a ∆.

3. 3x + 2x + 85° = 180°

Reason: Substitution

4. x = 19

Reason: Algebra

Solving the equation algebraically, we would have the following:

3x + 2x + 85° = 180°

Add like terms

5x + 85 = 180

5x = 180 - 85 (subtraction property of equality)

5x = 95

Divide both sides by 5

x = 19

6 0

3 years ago

Write an equation for the line through (4,-1) and (6,9).<br>

artcher [175]

Answer:

$y = 5x - 21$

Hope this helps!

3 0

3 years ago

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